On Soliton Solutions of Perturbed Boussinesq and KdV-Caudery-Dodd-Gibbon Equations
Muhammad Imran Asjad, Hamood Ur Rehman, Zunaira Ishfaq, Jan Awrejcewicz, Ali Akgül, Muhammad Bilal Riaz
Abstract
Nonlinear science is a fundamental science frontier that includes research in the common properties of nonlinear phenomena. This article is devoted for the study of new extended hyperbolic function method (EHFM) to attain the exact soliton solutions of the perturbed Boussinesq equation (PBE) and KdV–Caudery–Dodd–Gibbon (KdV-CDG) equation. We can claim that these solutions are new and are not previously presented in the literature. In addition, 2d and 3d graphics are drawn to exhibit the physical behavior of obtained new exact solutions.
Topics & Concepts
Korteweg–de Vries equationSolitonNonlinear systemHyperbolic functionMathematicsMathematical analysisMathematical physicsPhysicsApplied mathematicsQuantum mechanicsNonlinear Waves and SolitonsNonlinear Photonic SystemsFractional Differential Equations Solutions